Repeated significance testing with censored rank statistics in interim analysis of clinical trials

Statistica Sinica

Volumn 8, Issue 2, 1998, Pages 411-428

  Gu, Minggao ^a   Lai, Tze Leung ^b  

^a MCGILL UNIVERSITY   (Canada)

^b STANFORD UNIVERSITY   (United States)

Author keywords

Censored survival data; Clinical trials; Group sequential tests; Rank statistics; Stopping rules; Use function

Indexed keywords

EID: 0032384574     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. Armitage, P., McPherson, C. K. and Rowe, B. C. (1969). Repeated significance tests on accumulating data. J. Roy. Statist. Soc. Ser. A 132, 235-244.
2. BHAT (β-Blocker Heart Attack Trial Research Group) (1981). β-blocker heart attack trial-design features. Controlled Clin. Trial 2, 275-285.
3. BHAT (β-Blocker Heart Attack Trial Research Group) (1982). A randomized trial of propranolol in patients with acute myocardial infarction. J. Amer. Med. Assoc. 147, 1707-1714.
4. DeLong, D. M. (1981). Crossing probabilities for a square root boundary by a Bessel process. Commun. Statist. - Theor. Meth. 10, 2197-2213.
5. Gill, R. (1980). Censoring and Stochastic Integrals. Math. Centre Tract 124, Mathematische Centrum, Amsterdam.
6. Gu, M. G. and Lai, T. L. (1991). Weak convergence of time-sequential censored rank statistics with applications to sequential testing in clinical trials. Ann. Statist. 19, 1403-1433.
7. Gu, M. G. and Lai, T. L. (1995). Determination of power and sample size in the design of clinical trials with failure-time endpoints and interim analysis. Tech. Report, Department of Statistics, Stanford Univ.
8. Gu, M. G., Lai, T. L. and Lan, K. K. G. (1991). Rank tests based on censored data and their sequential analogues. Amer. J. Math. and Management Sci. 11, 147-176.
9. Gu, M. G. and Ying, Z. (1995). Group sequential methods for survival data using partial likelihood score processes with covariate adjustment. Statist. Sinica 5, 793-804.
10. Harrington, D. P. and Fleming, T. R. (1982). A class of rank test procedures for censored survival data. Biometrika 69, 553-566.
11. Haybittle, J. L. (1971). Repeated assessments of results in clinical trials of cancer treatment. British J. Radiology 44, 793-797.
12. Jones, D. and Whitehead, J. (1979). Sequential forms of the log rank and modified Wilcoxon tests for censored data. Biometrika 66, 105-113.
13. Kim, C. K. and Lai, T. L. (1998). Robust regression with censored and truncated data. To appear in Multivariate, Design and Sampling (ed. S. Ghosh). Marcel Dekker, New York.
14. Lai, T. L. and Ying, Z. (1991). Rank regression methods for left truncated and right censored data. Ann. Statist. 19, 531-556.
15. Lai, T. L. and Ying, Z. (1994). A missing information principle and M-estimators in regression analysis with censored and truncated data. Ann. Statist. 22, 1222-1255.
16. Lan, K. K. G. and DeMets, D. L. (1983). Discrete sequential boundaries for clinical trials. Biometrika 70, 659-663.
17. Lan, K. K. G. and DeMets, D. L. (1989). Group sequential procedures: calendar versus information time. Statistics in Medicine 8, 1191-1198.
18. Lan, K. K. G., DeMets, D. L. and Halperin, M. (1984). More flexible sequential and nonsequential designs in long-term clinical trials. Comm. Statist. Theory Methods 13, 2339-2353.
19. Lin, D. Y. (1992). Sequential log rank tests adjusting for covariates with the accelerated life model. Biometrika 79, 523-529.
20. Mantel, N. (1966). Evaluation of survival data and two new rank order statistics arising in their consideration. Cancer Chemotherapy Reports 50, 163-170.
21. Peto, R. and Peto, J. (1972). Asymptotically efficient rank invariant test procedures (with discussion). J. Roy. Statist. Soc. Ser. A 135, 185-207.
22. Prentice, R. L. (1978). Linear rank tests with right censored data. Biometrika 65, 167-179.
23. Sellke, T. and Siegmund, D. (1983). Sequential analysis of the proportional hazards model. Biometrika 70, 315-326.
24. Siegmund, D. (1985). Sequential Analysis: Tests and Confidence Intervals. Springer-Verlag, New York.
25. Slud, E. and Wei, L. J. (1982). Two-sample repeated significance tests based on the modified Wilcoxon statistic. J. Amer. Statist. Assoc. 77, 862-868.
26. Tsiatis, A. A. (1981). The asymptotic joint distribution of the efficient scores test for the proportional hazards model calculated over time. Biometrika 68, 311-315.
27. Tsiatis, A. A., Rosner, G. L. and Tritchler, D. L. (1985). Group sequential tests with censored survival data adjusting for covariates. Biometrika 72, 365-373.